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Finding the Fourth Proportional to 306,095.28, 422,409.24 and 171,959.28

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Solution

The fourth proportional to 306,095.28, 422,409.24 and 171,959.28 is: 237,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,095.28 : 422,409.24 = 171,959.28 : x
  2. Step 2: Convert to fraction form
    306,095.28/422,409.24 = 171,959.28/x
  3. Step 3: Cross multiply
    306,095.28x = 422,409.24 × 171,959.28
  4. Step 4: Simplify right side
    306,095.28x = 72,637,188,775.75
  5. Step 5: Solve for x
    x = 72,637,188,775.75/306,095.28
  6. Step 6: Final answer
    x = 237,302.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.